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Finding the Fourth Proportional to 186.77, 278.51 and 174.21

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Solution

The fourth proportional to 186.77, 278.51 and 174.21 is: 259.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.77 : 278.51 = 174.21 : x
  2. Step 2: Convert to fraction form
    186.77/278.51 = 174.21/x
  3. Step 3: Cross multiply
    186.77x = 278.51 × 174.21
  4. Step 4: Simplify right side
    186.77x = 48,518.36
  5. Step 5: Solve for x
    x = 48,518.36/186.77
  6. Step 6: Final answer
    x = 259.78

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.